Question

If G is a group of even order, then an element a ≠ e, satisfying
1. a² = e
2. a³ = e
3. a⁵ = e
4. a⁷ = e

Answer 1

Correct Answer - Option 1 : a² = e

Concept:

If G is a group of even order, there exists, a² = e. Or we can say that a group of even order contains an element of order 2.

Even Order Group has an Odd Number of Order 2 Elements.ap=e